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X(3), X(6), X(19), X(25), X(28), X(48), X(65), X(228), X(2194), X(2218), X(2352) vertices of the tangential triangle 

K431 is a pivotal cubic passing through the vertices of the tangential triangle. See Table 34. It is the isogonal transform of K610 = pK(X2, X286) and the barycentric product X(1) x K109. 
